λ
Prime Ledger

7,744,082

2 × 3872041
Deficient Even Composite

7,744,082 has the prime decomposition 2 × 3872041. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 3872041
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 11,616,126
Proper Divisor Sum 3,872,044
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7744081 ← → #7744091

Radix Representation

Decimal 7744082
Binary 11101100010101001010010 (23 bits)
Octal 0o35425122
Hexadecimal 0x762A52

Divisor Catalog (4)

1 2 3,872,041 7,744,082

Collatz Trajectory (186 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

7,744,082 3,872,041 11,616,124 5,808,062 2,904,031 8,712,094 4,356,047 13,068,142 6,534,071 19,602,214 9,801,107 29,403,322 14,701,661 44,104,984 22,052,492 11,026,246 5,513,123 16,539,370 8,269,685 24,809,056 12,404,528 6,202,264 3,101,132 1,550,566 775,283 2,325,850 1,162,925 3,488,776 1,744,388 872,194 436,097 1,308,292 654,146 327,073 981,220 490,610 245,305 735,916 367,958 183,979 551,938 275,969 827,908 413,954 206,977 620,932 310,466 155,233 465,700 232,850 116,425 349,276 174,638 87,319 261,958 130,979 392,938 196,469 589,408 294,704

More profiles

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